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We consider space efficient hash tables that can grow and shrink dynamically and are always highly space efficient, i.e., their space consumption is always close to the lower bound even while growing and when taking into account storage…

Data Structures and Algorithms · Computer Science 2017-05-03 Tobias Maier , Peter Sanders

We consider the problem of determining the maximal $\alpha \in (0,1]$ such that every matching $M$ of size $k$ (or at most $k$) in a bipartite graph $G$ contains an induced matching of size at least $\alpha |M|$. This measure was recently…

Data Structures and Algorithms · Computer Science 2018-09-11 Noga Alon , Jonathan D. Cohen , Thomas L. Griffiths , Pasin Manurangsi , Daniel Reichman , Igor Shinkar , Tal Wagner , Alexander Yu

We present jump consistent hash, a fast, minimal memory, consistent hash algorithm that can be expressed in about 5 lines of code. In comparison to the algorithm of Karger et al., jump consistent hash requires no storage, is faster, and…

Data Structures and Algorithms · Computer Science 2014-06-10 John Lamping , Eric Veach

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

Data Structures and Algorithms · Computer Science 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani

We settle the question of tight thresholds for offline cuckoo hashing. The problem can be stated as follows: we have n keys to be hashed into m buckets each capable of holding a single key. Each key has k >= 3 (distinct) associated buckets…

Data Structures and Algorithms · Computer Science 2010-12-22 Martin Dietzfelbinger , Andreas Goerdt , Michael Mitzenmacher , Andrea Montanari , Rasmus Pagh , Michael Rink

A Perfect Hash Function (PHF) is a hash function that has no collisions on a given input set. PHFs can be used for space efficient storage of data in an array, or for determining a compact representative of each object in the set. In this…

Data Structures and Algorithms · Computer Science 2022-11-09 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

This paper introduces CuCoTrack, a cuckoo hash based data structure designed to efficiently implement connection tracking. The proposed scheme exploits the fact that queries always match one existing connection to compress the 5-tuple that…

Data Structures and Algorithms · Computer Science 2018-06-12 Pedro Reviriego , Salvatore Pontarelli , Gil Levy

Searching on bipartite graphs serves as a fundamental task for various real-world applications, such as recommendation systems, database retrieval, and document querying. Conventional approaches rely on similarity matching in continuous…

Information Retrieval · Computer Science 2024-08-20 Yankai Chen , Yixiang Fang , Yifei Zhang , Chenhao Ma , Yang Hong , Irwin King

The maximum matching width is a width-parameter that is defined on a branch-decomposition over the vertex set of a graph. The size of a maximum matching in the bipartite graph is used as a cut-function. In this paper, we characterize the…

Combinatorics · Mathematics 2016-06-24 Jisu Jeong , Seongmin Ok , Geewon Suh

Cuckoo hashing guarantees constant-time lookups regardless of table density, making it a viable candidate for high-density tables. Cuckoo hashing insertions perform poorly at high table densities, however. In this paper, we mitigate this…

Data Structures and Algorithms · Computer Science 2016-05-18 William Kuszmaul

An important function in modern routers and switches is to perform a lookup for a key. Hash-based methods, and in particular cuckoo hash tables, are popular for such lookup operations, but for large structures stored in off-chip memory,…

Data Structures and Algorithms · Computer Science 2017-09-15 Salvatore Pontarelli , Pedro Reviriego , Michael Mitzenmacher

Consistent hashing is used in distributed systems and networking applications to spread data evenly and efficiently across a cluster of nodes. In this paper, we present MementoHash, a novel consistent hashing algorithm that eliminates known…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

In the past few years, General Purpose Graphics Processors (GPUs) have been used to significantly speed up numerous applications. One of the areas in which GPUs have recently led to a significant speed-up is model checking. In model…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-29 Nathan Cassee , Anton Wijs

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

The performance of a dynamic dictionary is measured mainly by its update time, lookup time, and space consumption. In terms of update time and lookup time there are known constructions that guarantee constant-time operations in the worst…

Data Structures and Algorithms · Computer Science 2015-03-13 Yuriy Arbitman , Moni Naor , Gil Segev

Consistent hashing (CH) is a central building block in many networking applications, from datacenter load-balancing to distributed storage. Unfortunately, state-of-the-art CH solutions cannot ensure full consistency under arbitrary changes…

Data Structures and Algorithms · Computer Science 2020-11-24 Gal Mendelson , Shay Vargaftik , Katherine Barabash , Dean Lorenz , Isaac Keslassy , Ariel Orda

We study fully dynamic algorithms for maximum matching. This is a well-studied problem, known to admit several update-time/approximation trade-offs. For instance, it is known how to maintain a 1/2-approximate matching in $\log^{O(1)} n$…

Data Structures and Algorithms · Computer Science 2022-11-15 Soheil Behnezhad

A $d$-ary cuckoo hash table is an open-addressed hash table that stores each key $x$ in one of $d$ random positions $h_1(x), h_2(x), \ldots, h_d(x)$. In the offline setting, where all items are given and keys need only be matched to…

Data Structures and Algorithms · Computer Science 2025-01-07 William Kuszmaul , Michael Mitzenmacher

Cache plays an important role to maintain high and stable performance (i.e. high throughput, low tail latency and throughput jitter) in storage systems. Existing rule-based cache management methods, coupled with engineers' manual…

Hardware Architecture · Computer Science 2022-03-28 Ji Zhang , Xijun Li , Xiyao Zhou , Mingxuan Yuan , Zhuo Cheng , Keji Huang , Yifan Li

Heterogeneous wireless networks (HetNets) provide a powerful approach to meet the dramatic mobile traffic growth, but also impose a significant challenge on backhaul. Caching and multicasting at macro and pico base stations (BSs) are two…

Information Theory · Computer Science 2016-04-11 Ying Cui , Dongdong Jiang